Stability analysis of a general SIR epidemic model

Roman Ullah, Gul Zaman, Saeed Islam

Abstract


A proper structure of mathematical model is required to
understand the large size dynamics of the spread of an infectious disease. In this paper, we discuss a general SIR epidemic model which represents the direct transmission of infectious disease. The reproduction number R0 is determined and the local and global stabilities of both the disease-free and the endemic equilibrium are derived


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DOI: http://dx.doi.org/10.21015/vtm.v1i1.41

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